TSTP Solution File: ARI407_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI407_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:48:10 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   57 (   0 atm;  21 fun;  18 num;  18 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (  16   !;   2   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f110,plain,
    $false,
    inference(equality_resolution,[],[f102]) ).

tff(f102,plain,
    ! [X0: $real] : ( 10.0 != X0 ),
    inference(superposition,[],[f95,f5]) ).

tff(f5,plain,
    ! [X0: $real] : ( $sum(X0,0.0) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f95,plain,
    ! [X11: $real] : ( 10.0 != $sum(X11,0.0) ),
    inference(superposition,[],[f36,f66]) ).

tff(f66,plain,
    ! [X0: $real] : ( $sum($uminus(X0),X0) = 0.0 ),
    inference(superposition,[],[f7,f13]) ).

tff(f13,plain,
    ! [X0: $real] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_153,[]) ).

tff(f7,plain,
    ! [X0: $real] : ( $sum(X0,$uminus(X0)) = 0.0 ),
    introduced(theory_axiom_145,[]) ).

tff(f36,plain,
    ! [X2: $real,X3: $real] : ( 10.0 != $sum(X2,$sum(X3,4.25)) ),
    inference(superposition,[],[f21,f4]) ).

tff(f4,plain,
    ! [X2: $real,X0: $real,X1: $real] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_141,[]) ).

tff(f21,plain,
    ! [X0: $real] : ( 10.0 != $sum(X0,4.25) ),
    inference(superposition,[],[f15,f3]) ).

tff(f3,plain,
    ! [X0: $real,X1: $real] : ( $sum(X1,X0) = $sum(X0,X1) ),
    introduced(theory_axiom_140,[]) ).

tff(f15,plain,
    ! [X0: $real] : ( $sum(4.25,X0) != 10.0 ),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $real] : ( $sum(4.25,X0) != 10.0 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $real] : ( $sum(4.25,X0) = 10.0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $real] : ( $sum(4.25,X0) = 10.0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_sum_problem_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI407=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 16:06:06 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (25234)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.50  % (25242)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.20/0.50  % (25222)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.50  % (25222)First to succeed.
% 0.20/0.50  % (25222)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (25222)------------------------------
% 0.20/0.50  % (25222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (25222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (25222)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (25222)Memory used [KB]: 5500
% 0.20/0.50  % (25222)Time elapsed: 0.114 s
% 0.20/0.50  % (25222)Instructions burned: 6 (million)
% 0.20/0.50  % (25222)------------------------------
% 0.20/0.50  % (25222)------------------------------
% 0.20/0.50  % (25216)Success in time 0.158 s
%------------------------------------------------------------------------------